145135140 has 96 divisors (see below), whose sum is σ = 423360000. Its totient is φ = 37105152.

The previous prime is 145135139. The next prime is 145135157. The reversal of 145135140 is 41531541.

It is a happy number.

145135140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 145135140.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 415686 + ... + 416034.

It is an arithmetic number, because the mean of its divisors is an integer number (4410000).

Almost surely, 2^145135140 is an apocalyptic number.

145135140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145135140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211680000).

145135140 is an abundant number, since it is smaller than the sum of its proper divisors (278224860).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

145135140 is a wasteful number, since it uses less digits than its factorization.

145135140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 145135140 is about 12047.2046550227. The cubic root of 145135140 is about 525.5219480344.

Adding to 145135140 its reverse (41531541), we get a palindrome (186666681).

The spelling of 145135140 in words is "one hundred forty-five million, one hundred thirty-five thousand, one hundred forty".